Objects can leave a trace in the Graphics View when they are moved. Use the Context Menu and select Trace On. Alternatively you can go into the Object Properties and activate Show Trace. Then, modify the construction so that the object whose trace you turned on changes its position and leaves a trace.
You can turn off the trace of an object by un-checking Trace On in the Context Menu. The menu item Refresh Views in the View Menu clears all trace.
When the Spreadsheet View is enabled, it is also possible to trace the changing positions of a point in the Graphics View. To do so, open the Context Menu of a point in the Graphics View and select the Record to Spreadsheet option (in the GeoGebra Desktop version it is also possible to trace the point positions in a list, by selecting the Trace to List option in the appearing dialog window).